How many dimes must be added to a bag of 200 nickels so that the average value of the coins in the b

Discussion in 'Calculator Requests' started by math_celebrity, Nov 20, 2016.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    How many dimes must be added to a bag of 200 nickels so that the average value of the coins in the bag is 8 cents?

    200 nickels has a value of 200 * 0.05 = $10.

    Average value of coins is $10/200 = 0.05

    Set up our average equation, where we have total value divided by total coins:
    (200 * 0.05 + 0.1d)/(200 + d) = 0.08

    Cross multiply:
    16 + 0.08d = 10 + 0.1d

    Using our equation solver, we get:
    d = 300
     

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